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January, 1987 The Law of Large Numbers for Partial Sum Processes Indexed by Sets
Evarist Gine, Joel Zinn
Ann. Probab. 15(1): 154-163 (January, 1987). DOI: 10.1214/aop/1176992261

Abstract

This note provides necessary and sufficient conditions for the law of large numbers for partial sum processes indexed by sets of $\lbrack 0, 1\rbrack^d$ and based on i.i.d. integrable random variables.

Citation

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Evarist Gine. Joel Zinn. "The Law of Large Numbers for Partial Sum Processes Indexed by Sets." Ann. Probab. 15 (1) 154 - 163, January, 1987. https://doi.org/10.1214/aop/1176992261

Information

Published: January, 1987
First available in Project Euclid: 19 April 2007

zbMATH: 0617.60026
MathSciNet: MR877595
Digital Object Identifier: 10.1214/aop/1176992261

Subjects:
Primary: 60F15
Secondary: 60G50

Keywords: Metric entropy , partial sum processes , Weak and strong laws of large numbers

Rights: Copyright © 1987 Institute of Mathematical Statistics

Vol.15 • No. 1 • January, 1987
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